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Finding the Fourth Proportional to 4,886.98, 7,328.64 and 1,964.30

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Solution

The fourth proportional to 4,886.98, 7,328.64 and 1,964.30 is: 2,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.98 : 7,328.64 = 1,964.30 : x
  2. Step 2: Convert to fraction form
    4,886.98/7,328.64 = 1,964.30/x
  3. Step 3: Cross multiply
    4,886.98x = 7,328.64 × 1,964.30
  4. Step 4: Simplify right side
    4,886.98x = 14,395,647.55
  5. Step 5: Solve for x
    x = 14,395,647.55/4,886.98
  6. Step 6: Final answer
    x = 2,945.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.